Algebraic cobordism:
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theo...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer
[2007]
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Summary: | Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications. |
| Physical Description: | XII, 244 Seiten |
| ISBN: | 9783540368229 9783540368243 3540368221 |
Staff View
MARC
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| 520 | 3 | |a Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications. | |
| 650 | 4 | |a Cobordismes, Théorie des | |
| 650 | 7 | |a Cobordismo |2 larpcal | |
| 650 | 7 | |a Geometria algébrica |2 larpcal | |
| 650 | 4 | |a Homologie | |
| 650 | 7 | |a Teoria homológica |2 larpcal | |
| 650 | 4 | |a Cobordism theory | |
| 650 | 4 | |a Homology theory | |
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Record in the Search Index
| _version_ | 1805088685390036992 |
|---|---|
| adam_text |
Contents
1
1.1
1.2
1.3
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
3.6
4
4.1
4.2
4.3
4.4
4.5
5
5.1
5.2
XII
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.4
A Resolution of singularities
References
Index
Glossary of Notation |
| adam_txt |
Contents
1
1.1
1.2
1.3
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
3.6
4
4.1
4.2
4.3
4.4
4.5
5
5.1
5.2
XII
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.4
A Resolution of singularities
References
Index
Glossary of Notation |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Levine, Marc 1952- Morel, Fabien 1965- |
| author_GND | (DE-588)120151499 (DE-588)132679353 |
| author_facet | Levine, Marc 1952- Morel, Fabien 1965- |
| author_role | aut aut |
| author_sort | Levine, Marc 1952- |
| author_variant | m l ml f m fm |
| building | Verbundindex |
| bvnumber | BV022260011 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.66 |
| callnumber-search | QA612.66 |
| callnumber-sort | QA 3612.66 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 SK 300 SK 240 |
| classification_tum | MAT 142f MAT 143f |
| ctrlnum | (OCoLC)85804043 (DE-599)BVBBV022260011 |
| dewey-full | 514/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 |
| dewey-search | 514/.72 |
| dewey-sort | 3514 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:42:32Z |
| indexdate | 2024-07-20T09:11:56Z |
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| isbn | 9783540368229 9783540368243 3540368221 |
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| physical | XII, 244 Seiten |
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| spelling | Levine, Marc 1952- (DE-588)120151499 aut Algebraic cobordism M. Levine ; F. Morel Berlin ; Heidelberg ; New York Springer [2007] © XII, 244 Seiten txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications. Cobordismes, Théorie des Cobordismo larpcal Geometria algébrica larpcal Homologie Teoria homológica larpcal Cobordism theory Homology theory Algebraischer Kobordismus (DE-588)4141849-9 gnd rswk-swf Algebraischer Kobordismus (DE-588)4141849-9 s DE-604 Morel, Fabien 1965- (DE-588)132679353 aut Erscheint auch als Online-Ausgabe 978-3-540-36824-3 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2853644&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015470669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levine, Marc 1952- Morel, Fabien 1965- Algebraic cobordism Cobordismes, Théorie des Cobordismo larpcal Geometria algébrica larpcal Homologie Teoria homológica larpcal Cobordism theory Homology theory Algebraischer Kobordismus (DE-588)4141849-9 gnd |
| subject_GND | (DE-588)4141849-9 |
| title | Algebraic cobordism |
| title_auth | Algebraic cobordism |
| title_exact_search | Algebraic cobordism |
| title_exact_search_txtP | Algebraic cobordism |
| title_full | Algebraic cobordism M. Levine ; F. Morel |
| title_fullStr | Algebraic cobordism M. Levine ; F. Morel |
| title_full_unstemmed | Algebraic cobordism M. Levine ; F. Morel |
| title_short | Algebraic cobordism |
| title_sort | algebraic cobordism |
| topic | Cobordismes, Théorie des Cobordismo larpcal Geometria algébrica larpcal Homologie Teoria homológica larpcal Cobordism theory Homology theory Algebraischer Kobordismus (DE-588)4141849-9 gnd |
| topic_facet | Cobordismes, Théorie des Cobordismo Geometria algébrica Homologie Teoria homológica Cobordism theory Homology theory Algebraischer Kobordismus |
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